On the micro-to-macro transition in constitutive analyses of elastoplastic response at finite strain

DOI10.1017/S0305004100063787zbMath0577.73019OpenAlexW2146998850MaRDI QIDQ3698380

Rodney Hill

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100063787

zbMATH Keywords

quadratic differential formshomogeneousmediamacro-levelmicro-levelquadratic differential invariantsresponse is heterogeneoustheoretical transition between basic properties of elastoplastictheoretical transition between basic properties of elastoplastic mediatransmissibility of measure-invariant inequalities

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Plastic materials, materials of stress-rate and internal-variable type (74C99) Dynamical problems in solid mechanics (74H99) Theory of constitutive functions in solid mechanics (74A20) Elastic materials (74B99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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Cites Work

• On uniqueness and stability in the theory of finite elastic strain
• Perspectives in the mechanics of elastoplastic crystals
• Uniqueness in general boundary-value problems for elastic or inelastic solids
• Constitutive analysis of elastic-plastic crystals at arbitrary strain

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